Question

give the range of the set of ordered pairs (2, 11), (9, -3), (7, 21), (-8, 6) -3 < y < 21 -8 < x < 9 {11, -3, 21, 6} {2, 9, 7, -8}

Explanation:

Step1: Recall the definition of range

The range of a set of ordered pairs \((x, y)\) is the set of all the \(y\)-values (the second elements) from the ordered pairs.

Step2: Identify the \(y\)-values from the ordered pairs

The given ordered pairs are \((2, 11)\), \((9, - 3)\), \((7,21)\), \((-8,6)\). The \(y\)-values are \(11\), \(-3\), \(21\), \(6\).

Step3: Form the set of \(y\)-values

The set containing these \(y\)-values is \(\{11, - 3,21,6\}\).

Answer:

\(\{11, - 3,21,6\}\) (corresponding to the third option in the list of choices)